Calculus

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1. Find an ordered pair that represents 6 vector v - 5 vector w if vector v =(9,5) and vector w = (6,9).

2. Find an ordered triple that represents 6 vector y + 4 vector z if vector y = (2,6,8) and vector z = (7,-2,6)

3. Find the magnitude of vector WX for W(3, –3, 1) and X(8, –3, –6).

4. Vectors A and B have the same direction. Vector A has a magnitude of 8, and Vector B has a magnitude of 5. What must be true about vectors A and B ? (1 point)
They are opposites and parallel.
They are parallel, but not equal.
They are equal, but not parallel.
They are opposites, but not parallel.

5. Vectors A and B have different, but not opposite directions. Vector A has a magnitude of 7 and vector B has a magnitude of 6. What must be true about Vectors A and B? (1 point)
They are not parallel, opposites, or equal.
They are parallel, but not equal.
They are opposites and parallel.
They are parallel, but not opposites.

  • Calculus -

    6v-5w = 6(9,5)-5(6,9) = (54,30)-(30,45) = (24,-15)

    do #2 the same way

    |WX| = √(5^2+0^2+7^2) = √74

    #4: ║ but ≠

    #5: ~║ ~opposites ≠

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